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Reliability analysis of load-sharing m-out-of-n systems with arbitrary load and different probability distributions of time to failure

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  • Sergey V. Gurov
  • Lev V. Utkin

Abstract

The reliability analysis of load-sharing m-out-of-n systems where the workload is shared by the remaining working units when a unit fails is proposed in the paper. General expressions are provided for the m-out-of-n system reliability by arbitrary probability distributions of time to failure of units. Simplified methods are given for computing the survivor function in cases when the time to unit failure is governed by the Weibull and exponential probability distributions. The system survivor function and the mean time to failure in the explicit form are obtained for systems with arbitrary load (decreasing and increasing) by the exponential time to unit failure. Numerical examples illustrate the properties of load-sharing m-out-of-n systems.

Suggested Citation

  • Sergey V. Gurov & Lev V. Utkin, 2015. "Reliability analysis of load-sharing m-out-of-n systems with arbitrary load and different probability distributions of time to failure," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 9(1), pages 21-35.
    • Handle: RePEc:ids:ijrsaf:v:9:y:2015:i:1:p:21-35
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    References listed on IDEAS

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    1. Paul H. Kvam & Edsel A. Pena, 2005. "Estimating Load-Sharing Properties in a Dynamic Reliability System," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 262-272, March.
    2. Sergey V. Gurov & Lev V. Utkin, 2014. "A continuous extension of a load-share reliability model based on a condition of the residual lifetime conservation," European Journal of Industrial Engineering, Inderscience Enterprises Ltd, vol. 8(3), pages 349-365.
    3. Madhu Jain & Ritu Gupta, 2012. "Load sharing M-out of-N: G system with non-identical components subject to common cause failure," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 4(5), pages 586-605.
    4. Sergey V. Gurov & Lev V. Utkin, 2012. "Load-share reliability models with the piecewise constant load," International Journal of Reliability and Safety, Inderscience Enterprises Ltd, vol. 6(4), pages 338-353.
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    Cited by:

    1. Seyed Mohammad Mortazavi & Mahdi Karbasian & Sareh Goli, 2017. "Evaluating MTTF of 2-out-of-3 redundant systems with common cause failure and load share based on alpha factor and capacity flow models," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(3), pages 542-552, September.

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